Question

Please help solve |-6y+3|=4|y-2|

Answer 1

Answer:

6

y

+

3

=

−

4

y

2

Move  

4

y

2

to the left side of the equation by adding it to both sides.

6

y

+

3

+

4

y

2

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

Substitute the values  

a

=

4

,  

b

=

6

, and  

c

=

3

into the quadratic formula and solve for  

y

.

−

6

±

√

6

2

−

4

⋅

(

4

⋅

3

)

2

⋅

4

Simplify.

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y

=

−

3

±

i

√

3

4

Step-by-step explanation: